101114411000 has 32 divisors (see below), whose sum is σ = 236607724080. Its totient is φ = 40445764000.

The previous prime is 101114410981. The next prime is 101114411029. The reversal of 101114411000 is 114411101.

It is a super-2 number, since 2×101114411000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50556206 + ... + 50558205.

Almost surely, 2^101114411000 is an apocalyptic number.

101114411000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101114411000 is an abundant number, since it is smaller than the sum of its proper divisors (135493313080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101114411000 is a wasteful number, since it uses less digits than its factorization.

101114411000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101114432 (or 101114418 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101114411000 its reverse (114411101), we get a palindrome (101228822101).

The spelling of 101114411000 in words is "one hundred one billion, one hundred fourteen million, four hundred eleven thousand".